Shop — Genus Skwedge
Skwedge
The shape of organizational reality. Now you can hold one.
Projectivum
Curvum
Convexum
Shop — Genus Skwedge
The shape of organizational reality. Now you can hold one.
Projectivum
Curvum
Convexum
Why does the shape that appears in every screwdriver, chisel, and hand axe also describe how organizations change? The book connects two million years of physical geometry to a framework for understanding human systems at the moment of fracture.
From the circle-to-line transition in soap films and stone tools to the geometry of organizational change. A framework for seeing where things are, what must fracture, and where they need to go.
Connects the mathematics of Genus Skwedge to the TSH framework: POD, POF, POA — Point of Departure, Point of Fracture, Point of Arrival.
Each skwedge is 3D printed in the species of your choice. Same boundary conditions — circle base, line-segment apex — three different solutions to the transition. The physical difference between them is the 13.13% Skwedge Disparity, made tangible.
Species III
Projectivum
The projective maximum. Intersection of all admissible orthographic silhouettes. Three distinct shadows — the shape known in Miluk as ptsi·nł.
Species I
Curvum
The ruled surface. Every point on the base circle connects to the apex edge by a straight line. Minimum volume among the canonical species.
Species II
Convexum
The convex hull of the base circle and apex segment. The largest convex skwedge — maximum volume within the canonical boundary conditions.